
In principle, standard DMD methods [1]}, [2]} could be encouraged to respect shift invariance by augmenting the data
matrices with their shifted counterparts. However, one would strictly need to include \(n\)  shifts,
thus producing \(nm\)  samples which is usually too large in applications.
In contrast, the above solution is extremely efficient via the use of the FFT and the decoupling of wavenumbers.
